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Finding the Fourth Proportional to 9,114, 12,577.41 and 5,134.92

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Solution

The fourth proportional to 9,114, 12,577.41 and 5,134.92 is: 7,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114 : 12,577.41 = 5,134.92 : x
  2. Step 2: Convert to fraction form
    9,114/12,577.41 = 5,134.92/x
  3. Step 3: Cross multiply
    9,114x = 12,577.41 × 5,134.92
  4. Step 4: Simplify right side
    9,114x = 64,583,994.16
  5. Step 5: Solve for x
    x = 64,583,994.16/9,114
  6. Step 6: Final answer
    x = 7,086.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.